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22263696 = 24327131699
BaseRepresentation
bin101010011101…
…1011110010000
31112220010001100
41110323132100
521144414241
62113104400
7360144510
oct124733620
945803040
1022263696
1111627054
127558100
1347c68b0
142d57840
151e4b9b6
hex153b790

22263696 has 120 divisors (see below), whose sum is σ = 76731200. Its totient is φ = 5868288.

The previous prime is 22263691. The next prime is 22263707. The reversal of 22263696 is 69636222.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 22263696.

It is not an unprimeable number, because it can be changed into a prime (22263691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12255 + ... + 13953.

Almost surely, 222263696 is an apocalyptic number.

22263696 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22263696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38365600).

22263696 is an abundant number, since it is smaller than the sum of its proper divisors (54467504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22263696 is a wasteful number, since it uses less digits than its factorization.

22263696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1733 (or 1724 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 22263696 is about 4718.4421157836. The cubic root of 22263696 is about 281.3190147671.

The spelling of 22263696 in words is "twenty-two million, two hundred sixty-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 72 78 84 91 104 112 117 126 144 156 168 182 208 234 252 273 312 336 364 468 504 546 624 728 819 936 1008 1092 1456 1638 1699 1872 2184 3276 3398 4368 5097 6552 6796 10194 11893 13104 13592 15291 20388 22087 23786 27184 30582 35679 40776 44174 47572 61164 66261 71358 81552 88348 95144 107037 122328 132522 142716 154609 176696 190288 198783 214074 244656 265044 285432 309218 353392 397566 428148 463827 530088 570864 618436 795132 856296 927654 1060176 1236872 1391481 1590264 1712592 1855308 2473744 2782962 3180528 3710616 5565924 7421232 11131848 22263696